What Diameter is Needed for the Tube in this Thermodynamics Problem?

Jay9313
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Homework Statement


Oil with a density of 850 kg/m^3 is flowing at a velocity of 20 m/s at the atmospheric pressure in a horizontal tube elevated at 20m above the sea level. Please determine the diameter of the tube if the rate of mechanical energy for oil is 60000 J/s


Homework Equations





The Attempt at a Solution


dE/dt = [itex]\frac{ρv∏D<sup>2</sup>}{4}[/itex] * ([itex]\frac{P}{ρ}[/itex] + [itex]\frac{20<sup>2</sup>}{2}[/itex] + 9.81 * 20) = 60,000

Now, my question is, P/ρ. I was told that it is at atmospheric pressure, but the pressure I use for that equation, is it absolute or gage?


EDIT: It's not coming out properly, I just need to know if the P in P/ρ is gage or absolute or should it matter? I did it both ways and got a diameter difference of about 20mm
 
on Phys.org
it won't make any difference on gage or absolute
 
Last edited:

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